Prime numbers and computer methods for factorization
<p>Published in the mid 1980s, the highly successful first edition of this title investigated the mathematical underpinnings of computer encryption, a discipline drawing heavily on the factorization of large numbers into primes. The book served a broad audience of researchers, students, practi...
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| Médium: | E-kniha |
| Jazyk: | English |
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Boston
Springer
2012.
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| Edice: | Modern Birkhäuser Classics
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| On-line přístup: | Click here to view the full text content |
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Obsah:
- Preface
- The Number of Primes Below a Given Limit
- The Primes Viewed at Large
- Subtleties in the Distribution of Primes
- The Recognition of Primes
- Classical Methods of Factorization
- Modern Factorization Methods
- Prime Numbers and Cryptography
- Appendix 1. Basic Concepts in Higher Algebra
- Appendix 2. Basic concepts in Higher Arithmetic
- Appendix 3. Quadratic Residues
- Appendix 4. The Arithmetic of Quadratic Fields
- Appendix 5. Higher Algebraic Number Fields
- Appendix 6. Algebraic Factors
- Appendix 7. Elliptic Curves
- Appendix 8. Continued Fractions
- Appendix 9. Multiple-Precision Arithmetic
- Appendix 10. Fast Multiplication of Large Integers
- Appendix 11. The Stieltjes Integral
- Tables
- List of Textbooks
- Index..